Modulus Weibull

Ps = survival probability of component V = volume of component o= tensile stress on component 1/q = volume of test sample (Tq = stress that, when applied to test sample, gives Ps = 1/e (= 0.37) m = Weibull modulus. 

Fig. 2 Weibull plot of the filament strength for a test length of 10 cm of a PpPTA yarn yielding a Weibull modulus of 20.6. The average filament strength is 3.2 GPa... 

Fig. 1.18 Bounds on the relationship between the non-dimensional fiber pull-out length and the Weibull modulus.

Fig. 9.2 Threshold for long-term creep of a uniaxially reinforced composite as a function of the Weibull modulus for the fiber strength distribution.

We show in Section 10.5 how the Weibull modulus can be obtained graphically by using a double log plot of such an equation that gives a straight line of slope (3. 

Table 10.1 Typical Weibull modulus (P) values for bulk materials.

We note from the above expression that fi is an inverse function of the Weibull modulus, jS. 

Table 10.2 Typical Weibull modulus (for some fibers.

The telecommunication industry requires optical glass fibers with very high strength (>1 GPa) over very long lengths (>1 km). For example, the True Wave single mode fiber of Lucent Technologies is routinely subjected to a proof stress of 0.7 GPa (see below) while the Weibull modulus is claimed to be 147 (Kummer,... 

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